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Finding the Fourth Proportional to 517.08, 712.74 and 474.69

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Solution

The fourth proportional to 517.08, 712.74 and 474.69 is: 654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.08 : 712.74 = 474.69 : x
  2. Step 2: Convert to fraction form
    517.08/712.74 = 474.69/x
  3. Step 3: Cross multiply
    517.08x = 712.74 × 474.69
  4. Step 4: Simplify right side
    517.08x = 338,330.55
  5. Step 5: Solve for x
    x = 338,330.55/517.08
  6. Step 6: Final answer
    x = 654.31

Related Problems

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Half scale
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Double scale
Find fourth proportional to 518.08, 714.12 and 475.69
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.